Tottenham striker Harry Kane scored two goals as Spurs defeated Arsenal in the Premier League.
Conte, whose Tottenham team are fighting for a top-four spot in the Premier League, has been linked with French champions Paris Saint-Germain but last week he described the speculation as "fake news".
Rumours of Antonio Conte moving to PSG were making rounds after reports surfaced that current PSG manager Mauricio Pochettino is expected to be sacked at the end of the season.
Ronaldo's 50th club hat-trick tempered a revolt among the fanbase at Old Trafford as United move above Arsenal into fifth on goal difference, three points behind Tottenham.
Antonio Conte's Tottenham revolution gathered pace with a 4-0 rout of Aston Villa that boosted their top four bid, while Leeds should be safe after an impressive win at Watford.
Harry Kane's blistering finish against Brighton from Rodrigo Bentancur's pass made it 95 away goals in the Premier League for the striker, more than any other player.
The win lifts Tottenham to seventh in the Premier League, four points behind fourth-placed Manchester United with a game in hand as they bid to qualify for next season's Champions League
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Tottenham signed Swedish international forward Dejan Kulusevski and Uruguayan midfielder Rodrigo Bentancur from Juventus.
Liverpool kept hope of a title race alive as a 3-1 win over Crystal Palace cut the gap on leaders Manchester City to nine points.
Arsenal's request to call off its north London derby match against Tottenham because of a lack of senior players available was granted by the Premier League on Saturday.
West Ham saw off Leeds 2-0 in the day's only third-round match featuring two Premier League teams while Wolves defeated Sheffield United 3-0.
Tottenham dropped two precious points against 10-man Southampton on Tuesday as West Ham hammered Watford 4-1 to turn up the heat in the race for a coveted Premier League top-four spot.
Three of the scheduled nine Boxing Day matches were postponed due to coronavirus outbreaks as Britain battles record numbers of cases caused by the Omicron strain of the virus.
Spurs were unable to fulfil the 9 December fixture due to a swathe of Covid-19 cases in the squad, as a result of which they finish third in the group
UEFA confirmed in a statement on Thursday the game would not go ahead, giving the organisation a headache over the rescheduling of the game.
A Sergi Canos own goal gave Tottenham the lead in the first half and Son wrapped up their second successive Premier League win after the interval.
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Spurs will now likely have to beat Rennes at home in their final group game to avoid crashing out of Europe's third-tier competition.
Spurs have counted the cost of the coronavirus pandemic more than most as it struck shortly after the club opened a new 63,000 capacity stadium at a cost of £1.2 billion.
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A severely depleted Leeds remain just two points above the relegation zone after threatening to spoil Conte's first home league game since he replaced Nuno Espirito Santo.
Conte has to find a way to get the best out of Tottenham's record signing, who has become a target for frustrated fans since his £55 million ($74 million) signing from Lyon in 2019.